Results 11 to 20 of about 3,473,158 (260)

Eisenstein series and quantum groups [PDF]

Annales de la Faculté des sciences de Toulouse : Mathématiques, 2016
We sketch a proof of a conjecture of [FFKM] that relates the geometric Eisenstein series sheaf with semi-infinite cohomology of the small quantum group with coefficients in the tilting module for the big quantum ...
Gaitsgory, Dennis
core   +6 more sources

Derivatives of theta functions as Traces of Partition Eisenstein series [PDF]

Nagoya mathematical journal
In his “lost notebook,” Ramanujan used iterated derivatives of two theta functions to define sequences of q-series $\{U_{2t}(q)\}$ and $\{V_{2t}(q)\}$ that he claimed to be quasimodular.
Tewodros Amdeberhan, Ken Ono, Ajit Singh
openalex   +2 more sources

Lacunary recurrences for Eisenstein series [PDF]

Research in Number Theory, 2015
Using results from the theory of modular forms, we reprove and extend a result of Romik about lacunary recurrence relations for Eisenstein series.Comment: 6 pages, more detailed proofs in v3, accepted for publication in Research in Number ...
Mertens, Michael H., Rolen, Larry
core   +3 more sources

On a formula of spin sums, Eisenstein-Kronecker series in higher genus Riemann surfaces

Nuclear Physics B, 2023
We discuss a decomposition formula of simple products of fermion correlation functions with cyclic constrains and its applications to spin sums of super string amplitudes.Based on some facts which are noted or derived in this paper, we propose a ...
A.G. Tsuchiya
doaj   +2 more sources

The global Gan-Gross-Prasad conjecture for unitary groups. II. From Eisenstein series to Bessel periods

Forum of Mathematics, Pi
We state and prove an extension of the global Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture to the case of some Eisenstein series on unitary groups $U_n\times U_{n+1}$ .
Raphaël Beuzart-Plessis, Pierre-Henri Chaudouard   +1 more
doaj   +2 more sources

An Electrochemical Study of Key Catalytically Active Gold Complexes. [PDF]

Angew Chem Int Ed Engl
A systematic electrochemical investigation of Au(I) complexes sheds light on how ligand environments control gold oxidizability. Through cyclic voltammetry and density functional theory (DFT) analysis, key trends are established for phosphine, N‐heterocyclic carbene (NHC), and hemilabile P^N ligands, offering valuable insights into the design of ...
Baubiat E, Vo NHH, Olivero S, Michelet V, Melot R.   +4 more
europepmc   +3 more sources

Macmahon’s sums-of-divisors and their connection to multiple Eisenstein series [PDF]

Research in Number Theory, 2023
We give explicit expressions for MacMahon's generalized sums-of-divisors $q$-series $A_r$ and $C_r$ by relating them to (odd) multiple Eisenstein series.
Henrik Bachmann
semanticscholar   +1 more source

Fourier expansion of light‐cone Eisenstein series [PDF]

Journal of the London Mathematical Society, 2022
In this work, we give an explicit formula for the Fourier coefficients of Eisenstein series corresponding to certain arithmetic lattices acting on hyperbolic n+1$n+1$ ‐space.
Dubi Kelmer, Shucheng Yu
semanticscholar   +1 more source

Orthogonal Eisenstein Series and Theta Lifts [PDF]

International Journal of Number Theory, 2021
We show that the additive Borcherds lift of vector-valued non-holomorphic Eisenstein series are orthogonal non-holomorphic Eisenstein series for $O(2, l)$.
P. Kiefer
semanticscholar   +1 more source

Semi-modular forms from Fibonacci–Eisenstein series [PDF]

The Ramanujan journal, 2021
In a 2021 paper, M. Just and the second author defined a class of “semi-modular forms” on $${\mathbb {C}}\backslash {\mathbb {R}}$$ C \ R , in analogy with classical modular forms, that are “half modular” in a particular sense; and constructed families ...
A. Akande, Robert Schneider
semanticscholar   +1 more source